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Definite Integral Calculator

Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.

Coefficient (a)

Exponent (n)

Lower Limit

Upper Limit

Number of Intervals

Integration Method

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Calculus

Trapezoidal Rule Calculator

Approximate the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.

Lower Limit (a)

Upper Limit (b)

Number of Subintervals

Average Trapezoid Height

Fill in the required fields to see your result.

Key differences

	Definite Integral Calculator	Trapezoidal Rule Calculator
Category	Calculus	Calculus
Inputs required	6	4
Result	Definite Integral	Approximate Integral
What it does	Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.	Approximate the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.